ln(24-x)+ln(2)=2ln(x)

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Solution for ln(24-x)+ln(2)=2ln(x) equation: 


Simplifying
ln(24 + -1x) + ln(2) = 2ln(x)
(24 * ln + -1x * ln) + ln(2) = 2ln(x)
(24ln + -1lnx) + ln(2) = 2ln(x)

Reorder the terms for easier multiplication:
24ln + -1lnx + 2ln = 2ln(x)

Reorder the terms:
24ln + 2ln + -1lnx = 2ln(x)

Combine like terms: 24ln + 2ln = 26ln
26ln + -1lnx = 2ln(x)

Multiply ln * x
26ln + -1lnx = 2lnx

Solving
26ln + -1lnx = 2lnx

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Add '-2lnx' to each side of the equation.
26ln + -1lnx + -2lnx = 2lnx + -2lnx

Combine like terms: -1lnx + -2lnx = -3lnx
26ln + -3lnx = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
26ln + -3lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(26 + -3x) = 0


Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve:

Simplifying
ln = 0

Solving
ln = 0

Move all terms containing l to the left, all other terms to the right.

Simplifying
ln = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(26 + -3x)' equal to zero and attempt to solve:

Simplifying
26 + -3x = 0

Solving
26 + -3x = 0

Move all terms containing l to the left, all other terms to the right.

Add '-26' to each side of the equation.
26 + -26 + -3x = 0 + -26

Combine like terms: 26 + -26 = 0
0 + -3x = 0 + -26
-3x = 0 + -26

Combine like terms: 0 + -26 = -26
-3x = -26

Add '3x' to each side of the equation.
-3x + 3x = -26 + 3x

Combine like terms: -3x + 3x = 0
0 = -26 + 3x

Simplifying
0 = -26 + 3x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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